What is the Greatest Common Factor of 84720 and 84735?

Greatest common factor (GCF) of 84720 and 84735 is 15.

GCF(84720,84735) = 15

We will now calculate the prime factors of 84720 and 84735, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84720 and 84735.

How to find the GCF of 84720 and 84735?

We will first find the prime factorization of 84720 and 84735. After we will calculate the factors of 84720 and 84735 and find the biggest common factor number .

Step-1: Prime Factorization of 84720

Prime factors of 84720 are 2, 3, 5, 353. Prime factorization of 84720 in exponential form is:

84720 = 2⁴ × 3¹ × 5¹ × 353¹

Step-2: Prime Factorization of 84735

Prime factors of 84735 are 3, 5, 7, 269. Prime factorization of 84735 in exponential form is:

84735 = 3² × 5¹ × 7¹ × 269¹

Step-3: Factors of 84720

List of positive integer factors of 84720 that divides 84720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 353, 706, 1059, 1412, 1765, 2118, 2824, 3530, 4236, 5295, 5648, 7060, 8472, 10590, 14120, 16944, 21180, 28240, 42360

Step-4: Factors of 84735

List of positive integer factors of 84735 that divides 84720 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 269, 315, 807, 1345, 1883, 2421, 4035, 5649, 9415, 12105, 16947, 28245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84720 and 84735. The biggest common factor number is the GCF number.
So the greatest common factor 84720 and 84735 is 15.

Also check out the Least Common Multiple of 84720 and 84735